Vortex structures in pure SU(3) lattice gauge theory

TL;DR

This paper investigates the properties of confining vortex structures in pure SU(3) lattice gauge theory, demonstrating their relevance in the continuum limit and their partial role in reproducing the string tension.

Contribution

It provides the first evidence that SU(3) vortex degrees of freedom are meaningful in the continuum limit and compares different vortex definitions and their impact on string tension.

Findings

Vortex and monopole densities scale properly with lattice spacing.

Effective vortex theory reproduces 62% of the full string tension.

Removing vortices results in vanishing string tension.

Abstract

The structures of confining vortices which underlie pure SU(3) Yang-Mills theory are studied by means of lattice gauge theory. Vortices and Z_3 monopoles are defined as dynamical degrees of freedom of the Z_3 gauge theory which emerges by center gauge fixing and by subsequent center projection. It is observed for the first time for the case of SU(3) that these degrees of freedom are sensible in the continuum limit: the planar vortex density and the monopole density properly scales with the lattice spacing. By contrast to earlier findings concerning the gauge group SU(2), the effective vortex theory only reproduces 62% of the full string tension. On the other hand, however, the removal of the vortices from the lattice configurations yields ensembles with vanishing string tension. SU(3) vortex matter which originates from Laplacian center gauge fixing is also discussed. Although these vortices recover the full string tension, they lack a direct interpretation as physical degrees of freedom in the continuum limit.